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Consider the following statements in res...

Consider the following statements in respect to an artifical satellite
(1) It should revolve in an orbit which is concentric and coplanar with equatorial plane
(2) It should be placed at an altitude of 3600 km from the earth
(3) Its period of revolution around the earth should be 24 hours
Which of the condition must be satisfied in order that it becomes a geostationary satellite

A

1 and 2

B

1, 2 and 3

C

2 and 3

D

1 and 3

Text Solution

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The correct Answer is:
To determine which conditions must be satisfied for an artificial satellite to become a geostationary satellite, we will analyze each statement one by one. ### Step-by-Step Solution: 1. **Understanding Geostationary Satellites**: - A geostationary satellite is one that orbits the Earth at the same rotational speed as the Earth. This means it appears to be stationary relative to a point on the Earth's surface. 2. **Condition 1: Concentric and Coplanar with the Equatorial Plane**: - For a satellite to be geostationary, it must orbit in the equatorial plane. This means it should be coplanar with the equator and revolve around the Earth in a circular orbit that is concentric with the Earth. - **Conclusion**: This condition is **correct**. 3. **Condition 2: Altitude of 3600 km from the Earth**: - The altitude for a geostationary orbit is not 3600 km. The correct altitude for a geostationary satellite is approximately 35,786 km above the Earth's surface. - **Conclusion**: This condition is **incorrect**. 4. **Condition 3: Period of Revolution of 24 hours**: - For a satellite to remain geostationary, its orbital period must match the Earth's rotational period, which is 24 hours. - **Conclusion**: This condition is **correct**. ### Final Conclusion: - The conditions that must be satisfied for an artificial satellite to become a geostationary satellite are: - Condition 1: Correct (must be concentric and coplanar with the equatorial plane). - Condition 2: Incorrect (should be at an altitude of approximately 35,786 km, not 3600 km). - Condition 3: Correct (must have a period of revolution of 24 hours). Thus, the correct conditions for a geostationary satellite are **1 and 3**.
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